Browsing Makale Koleksiyonu by Publisher "INDIAN NAT SCI ACAD"
Now showing items 1-8 of 8
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Boundary value problem for second-order differential equations with coulomb singularity on a finite interval
(INDIAN NAT SCI ACAD, 2006)Boundary value problem for second-order differential equations with Coulomb singularity on a finite interval has been studied. Asymptotic formulae for the eigenvalues and eigenfunctions have been obtained. Moreover, Weyl ... -
The commutative neutrix product of B-(r) (x, n) and delta((s)) (x)
(INDIAN NAT SCI ACAD, 1998)The Beta function B(x, n) and the associated Beta functions B(n(+/-), n) and B+/-(x, n) are defined as distributions and the commutative neutrix products of them and their derivatives with delta((s)) (x) are evaluated. -
Delta(m)-Statistical convergence
(INDIAN NAT SCI ACAD, 2001)In this paper, we define a general sequence space Delta (m) (X) = {x = (x(k)) : (Delta (m) x(k)) is an element of X}, (m is an element of N), where X is any sequence space. We establish some inclusion relations, topological ... -
On the commutative neutrix product of distributions
(INDIAN NAT SCI ACAD, 1999)Let f, g be distributions in D' and let f(n)=f * delta(n), g(n)=g * delta(eta), where {delta(eta)} is a certain sequence converging to the Dirac delta-function. The neutrix product f square g is said to exist and be equal ... -
On the spectrum and fine spectrum of the compact Rhaly operators
(INDIAN NAT SCI ACAD, 2003)In 1989, Rhaly determined the spectrum of Rhaly operator R-a regarded as an operator on the Hilbert space I-2 normed by parallel to x parallel to = (Sigma(n) \ x(n) \(2))(1/2). It is the purpose of this paper to determine ... -
On the spectrum of the Rhaly operators on c(0) and c
(INDIAN NAT SCI ACAD, 1998)In this paper, we determine the spectrum of the Rhaly matrix R-a as an operator on the spaces c(0) and c, when lim(n) (n + l)a(n) not equal 0 and exists. -
On the spectrum of the Rhaly operators on l(p)
(INDIAN NAT SCI ACAD, 2001)In 1989, Rhaly determined the spectrum of R-alpha, the Rhaly operator which is represented by the matrix : [GRAPHICS] regarded as an operator on the Hilbert space iota (2) normed by parallel to x parallel to = (Sigma (n) ... -
Some new sequence spaces defined by Orlicz functions
(INDIAN NAT SCI ACAD, 1995)In this paper, we introduce and examine three sequence spaces defined by Orlicz function M, which generalize well known strongly sigma-convergent sequence spaces.